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nLab > Latest Changes: quantum adiabatic theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2022

    a stub (just some references for the moment), for the time being just so that links work

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2022

    added “quantum” to the title

    v1, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2022

    added an actual couple of sentences to the Idea-section.

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2022

    also added a graphics trying to illustrate adiabatic evolution along braiding of band nodes.

    (The actual braiding ends up being partially hidden by the perspective – it’s a shame, but I don’t have the energy now to further adjust the tikz)

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJun 11th 2022

    have added pointer to:

    • Jan Carl Budich, Björn Trauzettel, From the adiabatic theorem of quantum mechanics to topological states of matter, physica status solidi (RRL) 7 1-2 (2013) 109-129 [[arXiv:1210.6672, doi:10.1002/pssr.201206416]]

    diff, v7, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 11th 2022

    where I had claimed (here) that topological quantum computation with anyons works via the quantum adiabatic theorem, I have added a reference. Will now also create an entry adiabatic quantum computation on the issue.

    diff, v8, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeAug 28th 2022

    added pointer to:

    diff, v11, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2022

    added pointer to:

    diff, v12, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2023

    added pointer to today’s

    • Ludmila Viotti, Ana Laura Gramajo, Paula I. Villar, Fernando C. Lombardo, Rosario Fazio, Geometric phases along quantum trajectories [arXiv:2301.04222]

    diff, v15, current

1 to 9 of 9

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